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Finding the Fourth Proportional to 105,039.62, 157,566.61 and 30,154

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Solution

The fourth proportional to 105,039.62, 157,566.61 and 30,154 is: 45,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,039.62 : 157,566.61 = 30,154 : x
  2. Step 2: Convert to fraction form
    105,039.62/157,566.61 = 30,154/x
  3. Step 3: Cross multiply
    105,039.62x = 157,566.61 × 30,154
  4. Step 4: Simplify right side
    105,039.62x = 4,751,263,557.94
  5. Step 5: Solve for x
    x = 4,751,263,557.94/105,039.62
  6. Step 6: Final answer
    x = 45,233.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.